Statistical-mechanical aids to calculating term-structure models

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Abstract
Recent work in statistical mechanics has developed new analytical and numerical techniques to solve coupled stochastic equations. This paper describes application of the very fast simulated reannealing and path-integral methodologies to the estimation of the Brennan and Schwartz two-factor term-structure (time-dependent) model of bond prices. It is shown that these methodologies can be utilized to estimate more complicated n-factor nonlinear models. Applications to other systems are stressed.